Add to ORKGWe prove that the homeomorphisms of a compact manifold with dimension one have zero topological emergence, whereas in dimension greater than one the topological emergence of a C^0-generic conservative homeomorphism is maximal, equal to the dimension of the manifold. Moreover, we show that the metric emergence of continuous self-maps on compact metric spaces has the intermediate value property
We construct ergodic probability measures with infinite metric entropy for typical continuous maps a...
Abstract. We prove an inequality between topological entropy and asy-mptotical growth of periodic or...
Abstract. For a compact metric space X let G = H(X) denote the group of self homeomorphisms with the...
ABSTRACT. We show that for a $C^{1} $ one-dimensional map there is a hyperbolic Cantorset in aneighb...
We study the ergodic properties of generic continuous dynamical systems on compact manifolds. As a m...
AbstractWe look at the dynamics of continuous self-maps of compact metric spaces possessing the pseu...
We study dynamical systems given by the action T : G x X -> X of a finitely generated semigroup G wi...
AbstractLet M be a compact manifold with dimM⩾2. We prove that some iteration of the generic homeomo...
Given a compact manifold X, a continuous function g : X -> IR, and a map T : X -> X, we study proper...
The Bowen-Dinaburg formulation of topological entropy htop(f) for f a continuous self-map of a compa...
. In this article we consider a class of maps which includes C 1+ff diffeomorphisms as well as inv...
AbstractLet μ be a locally positive Borel measure on a σ-compact n-manifold X,n≥2. We show that ther...
A continuum is a compact connected metric space. Amap is a continuous function. For a continuum X wi...
The purpose of this note is to prove the exponential law for uniformly continuous proper maps. Let X...
Abstract. Let (X, d, T) be a dynamical system, where (X, d) is a compact metric space and T: X → X a...
We construct ergodic probability measures with infinite metric entropy for typical continuous maps a...
Abstract. We prove an inequality between topological entropy and asy-mptotical growth of periodic or...
Abstract. For a compact metric space X let G = H(X) denote the group of self homeomorphisms with the...
ABSTRACT. We show that for a $C^{1} $ one-dimensional map there is a hyperbolic Cantorset in aneighb...
We study the ergodic properties of generic continuous dynamical systems on compact manifolds. As a m...
AbstractWe look at the dynamics of continuous self-maps of compact metric spaces possessing the pseu...
We study dynamical systems given by the action T : G x X -> X of a finitely generated semigroup G wi...
AbstractLet M be a compact manifold with dimM⩾2. We prove that some iteration of the generic homeomo...
Given a compact manifold X, a continuous function g : X -> IR, and a map T : X -> X, we study proper...
The Bowen-Dinaburg formulation of topological entropy htop(f) for f a continuous self-map of a compa...
. In this article we consider a class of maps which includes C 1+ff diffeomorphisms as well as inv...
AbstractLet μ be a locally positive Borel measure on a σ-compact n-manifold X,n≥2. We show that ther...
A continuum is a compact connected metric space. Amap is a continuous function. For a continuum X wi...
The purpose of this note is to prove the exponential law for uniformly continuous proper maps. Let X...
Abstract. Let (X, d, T) be a dynamical system, where (X, d) is a compact metric space and T: X → X a...
We construct ergodic probability measures with infinite metric entropy for typical continuous maps a...
Abstract. We prove an inequality between topological entropy and asy-mptotical growth of periodic or...
Abstract. For a compact metric space X let G = H(X) denote the group of self homeomorphisms with the...